Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Kuzman, Uros"'
Given a bounded strictly convex domain $\Omega\Subset \mathbb{C}$ and a point $q\in \Omega$ we construct a continuous solution of the Pascali-type elliptic system of differential equations that is centered in $q$, maps the unit disc into $\Omega$ and
Externí odkaz:
http://arxiv.org/abs/2403.14170
Autor:
Bertrand, Florian, Kuzman, Uroš
We establish the plurisubharmonicity of the envelope of the Poisson functional on almost complex manifolds. That is, we generalize the corresponding result for complex manifolds and almost complex manifolds of complex dimension two.
Comment: 20
Comment: 20
Externí odkaz:
http://arxiv.org/abs/2311.04317
Based on Runge theorem for generalized analytic vectors proved by Goldschmidt in 1979 we provide a Mergelyan-type and a Carleman-type approximation theorems for solutions of Pascali systems.
Externí odkaz:
http://arxiv.org/abs/2104.03833
Autor:
Kuzman, Uroš
We solve the non-linear Cousin problem for $J$-holomorphic maps. That is, we provide a gluing method for the pseudoholomorphic maps defined on a Cartan pair of domains in $\mathbb{C}$.
Comment: Theorem 3 added
Comment: Theorem 3 added
Externí odkaz:
http://arxiv.org/abs/2007.14041
Autor:
Kuzman, Uroš
We prove that every $J$-holomorphic variational vector field can be realized as derivation $\frac{d}{dt}_{|t=0}f_t$ where $(f_t)$ is a one parametric family of $J$-holomorphic discs. Furthermore, we discuss properness of an extremal $J$-holomorphic d
Externí odkaz:
http://arxiv.org/abs/2005.04086
Autor:
Thaler, Luka Boc, Kuzman, Uroš
Publikováno v:
Ergod. Th. Dynam. Sys. 41 (2021) 1612-1626
We consider the dynamics of complex rational maps on the Riemann sphere. We prove that, after reducing their orbits to a fixed number of positive values representing the Fubini-Study distances between finitely many initial elements of the orbit and t
Externí odkaz:
http://arxiv.org/abs/1902.04192
Autor:
Kuzman, Uros
We provide a direct construction of Poletsky discs via local arc approximation and a Runge-type theorem by A. Gournay.
Comment: 10 pages, to appear in Proc. Amer. Math. Soc. (revised version)
Comment: 10 pages, to appear in Proc. Amer. Math. Soc. (revised version)
Externí odkaz:
http://arxiv.org/abs/1710.07059
Autor:
Bertrand, Florian, Kuzman, Uros
We provide a local approximation result of non-holomorphic discs with small d-bar by pseudoholomorphic ones. As an application, we provide a certain gluing construction.
Comment: 10 pages
Comment: 10 pages
Externí odkaz:
http://arxiv.org/abs/1704.01781
Autor:
Bertrand, Florian, Kuzman, Uros
We establish plurisubharmonicity of the envelope of Poisson and Lelong functionals on almost complex manifolds. That is, we generalize the corresponding results for complex manifolds and almost complex manifolds of complex dimension two. We also prov
Externí odkaz:
http://arxiv.org/abs/1412.5468
Publikováno v:
Complex Var. Elliptic Equ. 60 (2015), 168-180
We establish plurisubharmonicity of the envelope of Lelong functional on almost complex manifolds of real dimension four, thereby we generalize the corresponding result for complex manifolds.
Externí odkaz:
http://arxiv.org/abs/1311.4357